HEIDENHAIN iTNC 530 (340 49x-01) ISO programming - Manual (Page 438)

438 10 Programming: Q Parameters
1
0
.4 T
rig
onometr
ic F
unctions
10.4 Trigonometric Functions
Definitions
Sine, cosine and tangent are terms designating the ratios of sides of
right triangles. In this case:
where
„ c is the side opposite the right angle
„ a is the side opposite the angle a
„ b is the third side.
The TNC can find the angle from the tangent:
α = arctan α = arctan (a / b) = arctan (sin α / cos α)
Example:
a = 10 mm
b = 10 mm
α = arctan (a / b) = arctan 1 = 45°
Furthermore:
a² + b² = c² (where a² = a x a)
Sine: sin
α = a / c
Cosine: cos
α = b / c
Tangent: tan
α = a / b = sin α / cos α
b
c
a
α
c (a² + b²) =